Universality of Fragmentation in the Schrödinger Dynamics of Bosonic Josephson Junctions

Abstract

The many-body Schrödinger dynamics of a one-dimensional bosonic Josephson junction is investigated for up to ten thousand bosons and long times. The initial states are fully condensed and the interaction strength is weak. We report on a universal fragmentation dynamics on the many-body level: systems consisting of different numbers of particles fragment to the same value at constant mean-field interaction strength. The phenomenon manifests itself in observables such as the correlation functions of the system. We explain this universal fragmentation dynamics analytically based on the Bose-Hubbard model. We thereby show that the extent to which many-body effects become important at later times depends crucially on the initial state. Even for arbitrarily large particle numbers and arbitrarily weak interaction strength the dynamics is many-body in nature and the fragmentation universal. There is no weakly interacting limit where the Gross-Piatevskii mean-field is valid for long times.

11 pages, 5 figures

References in corpus (15)

• Matter-wave interferometry in a double well on an atom chip
• Spatial quantum noise interferometry in expanding ultracold atom clouds
• Classical bifurcation at the transition from Rabi to Josephson dynamics
• The multi-configurational time-dependent Hartree method for bosons: Many-body dynamics of bosonic systems
• Fragmentation of Bose-Einstein Condensates
• Role of excited states in the splitting dynamics of interacting Bose-Einstein condensates when ramping-up a barrier
• Radio-frequency dressed state potentials for neutral atoms
• Observation of atom pairs in spontaneous four wave mixing of two colliding Bose-Einstein Condensates
• Reduced density matrices and coherence of trapped interacting bosons
• General variational many-body theory with complete self-consistency for trapped bosonic systems
• Exact quantum dynamics of bosons with finite-range time-dependent interactions of harmonic type
• Fragmented many-body ground states for scalar bosons in a single trap
• Hanbury Brown and Twiss correlations across the Bose-Einstein condensation threshold
• How does an interacting many-body system tunnel through a potential barrier to open space?
• Optimal time-dependent lattice models for nonequilibrium dynamics

Cited by in corpus (42)

• Multiconfigurational time-dependent Hartree approaches for indistinguishable particles
• MCTDH-X: The multiconfigurational time-dependent Hartree method for indistinguishable particles software
• Negative quench induced excitation dynamics for ultracold bosons in one-dimensional lattices
• Time-dependent restricted-active-space self-consistent-field theory for bosonic many-body systems
• Many-body tunneling dynamics of Bose-Einstein condensates and vortex states in two spatial dimensions
• Mode coupling of interaction quenched ultracold few-boson ensembles in periodically driven lattices
• Semiclassical analysis of Bose-Hubbard dynamics
• The uncertainty product of an out-of-equilibrium many-particle system
• Revealing single-trap condensate fragmentation by measuring density-density correlations after time of flight
• Center-of-mass motion as a sensitive convergence test for variational multi-mode quantum dynamics
• Correlated Tunneling Dynamics of an Ultracold Fermi-Fermi Mixture Confined in a Double-Well
• Relaxation, chaos, and thermalization in a three-mode model of a BEC
• Overlap of exact and Gross-Pitaevskii wavefunctions in Bose-Einstein condensates of dilute gases
• Entanglement-assisted tunneling dynamics of impurities in a double well immersed in a bath of lattice trapped bosons
• Non-linear mixing of Bogoliubov modes in a bosonic Josephson junction
• Impact of the range of the interaction on the quantum dynamics of a bosonic Josephson junction
• Quantum dynamics of few dipolar bosons in a double-well potential
• Beyond mean-field dynamics of ultra-cold bosonic atoms in higher dimensions: facing the challenges with a multi-configurational approach
• Many-body quantum dynamics of an asymmetric bosonic Josephson junction
• Impact of the transverse direction on the many-body tunneling dynamics in a two-dimensional bosonic Josephson junction
• Impurity induced quantum chaos for an ultracold bosonic ensemble in a double-well
• Dynamical Pruning of the Non-Equilibrium Quantum Dynamics of Trapped Ultracold Bosons
• The BBGKY hierarchy for ultracold bosonic systems: II. Applications
• Ground-state Bethe root densities and quantum phase transitions
• Longitudinal and transversal resonant tunneling of interacting bosons in a two-dimensional Josephson junction: Mean-field and many-body dynamics
• Collisions of solitary waves in condensates beyond mean-field theory
• On a fragmented condensate in a uniform Bose system
• Interaction-controlled impurity transport in trapped mixtures of ultracold bosons
• Simulation of the Quantum Dynamics of Indistinguishable Bosons with the Coupled Coherent States Method
• Collapse and Revival for a slightly anharmonic Hamiltonian
• Spectral Structure and Many-Body Dynamics of Ultracold Bosons in a Double-Well
• Asymptotic population imbalance of an ultracold bosonic ensemble in a driven double-well
• Many-Body Quantum Dynamics of a Bosonic Josephson Junction with a Finite-Range Interaction
• Intra- and interband excitations induced residue decay of the Bose polaron in a one-dimensional double-well
• Many-body effects in a composite bosonic Josephson junction
• Energy-level crossings and number-parity effects in a bosonic tunneling model
• Geometric phase driven Josephson junction: Possible experimental scheme for the search of spin superfluidity
• Dynamics and transport of Bose-Einstein condensates in bent potentials
• Analytical description of collisional decoherence in a BEC double-well accelerometer
• Many-body effects in the excitations and dynamics of trapped Bose-Einstein condensates
• Controlling dynamical entanglement in a Josephson tunneling junction
• Optimized Observable Readout from Single-shot Images of Ultracold Atoms via Machine Learning